Yen bought a total of 500 big and small candy canes. Then she decided to exchange 25% of her big candy canes for the small ones in the ratio of 1 : 5. After the exchange, she had 540 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
4 u |
? |
500 |
Change |
- 1 u |
|
|
Comparing big and small candy canes at exchange |
- 1 u |
+ 5 u |
+ 40 |
After |
3 u |
? |
540 |
25% =
25100 =
14The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Yen received due to the exchange
= 5 u - 1 u
= 4 u
4 u = 540 - 500
4 u = 40
1 u = 40 ÷ 4 = 10
Number of small candy canes at first
= 500 - 4 u
= 500 - 4 x 10
= 500 - 40
= 460
Percentage of the candy canes Yen bought that were small ones
=
460500 x 100%
= 92%
Answer(s): 92%